Article Figures & Data

Figures

(A–D) The generation of two-way RIL by selfing (A), two-way RIL by sibling mating (B), four-way RIL by sibling mating (C), and eight-way RIL by sibling mating (D). A single autosome is shown. In A and B, the generation of multiple RIL in parallel is shown, while C and D illustrate the generation of a single RIL.

Fixation probability at generation Fk for an arbitrary locus as a function of k. (A) The cumulative probability. (B) The probability of fixation precisely at Fk. The results for RIL by selfing are in green. The results for two-way and four-way RIL by sibling mating are in blue and red, respectively, with the solid curves corresponding to an autosomal locus and the dashed curves corresponding to an X chromosome locus.

Map expansion at generation Fk as a function of k, for two-way (blue), four-way (red), and eight-way (black) RIL by selfing (dashed curves) and by sibling mating (solid curves). The displayed results for RIL by sibling mating are for the autosomes; values for the X chromosome are exactly two-thirds those for the autosomes.

Additional Files

Supporting Information for Broman, 2012

Figure S1 -
One-locus genotype probabilities for a random individual on the autosome (A), the female on the X chromosome (B), and the
male on the X chromosome (C), at generation Fk in the production of four-way RIL by
sibling mating, as a function of k (PDF, 53 KB)

Figure S3 -
Two-locus haplotype probabilities, as a function of recombination fraction, for a random autosome haplotype (left column),
a random X chromosome haplotype from the female (middle column), and the male X chromosome haplotype (right column) at generation
Fk in the production of four-way RIL by sibling mating, with the individual curves corresponding to different values of k (PDF, 147 KB)

Table S10 -
Transpose of the recursion matrix for calculating probabilities of two-locus autosomal diplotypes of the form AA|AA, in
the generation of four-way RIL by sibling mating (PDF, 61 KB)

Table S11 -
Starting states for the calculation of probabilities of two-locus autosomal diplotypes of the form AA|AA, in the generation
of four-way RIL by sibling mating (PDF, 54 KB)

Table S12 -
Transpose of the recursion matrix for calculating probabilities of two-locus autosomal diplotypes of the form AA|AB, in
the generation of four-way RIL by sibling mating (PDF, 62 KB)

Table S13 -
Starting states for the calculation of probabilities of two-locus autosomal diplotypes of the form AA|AB, in the generation
of four-way RIL by sibling mating (PDF, 54 KB)

Table S14 -
Transpose of the recursion matrix for calculating probabilities of two-locus autosomal diplotypes of the form AA|BB, in
the generation of four-way RIL by sibling mating (PDF, 61 KB)

Table S15 -
Starting states for the calculation of probabilities of two-locus autosomal diplotypes of the form AA|BB, in the generation
of four-way RIL by sibling mating (PDF, 55 KB)

Table S16 -
Transpose of the recursion matrix for calculating probabilities of the two-locus X chromosome female diplotype of the form
AA|AA, in the generation of four-way RIL by sibling mating (PDF, 60 KB)

Table S17 -
Starting states for the calculation of probabilities of the two-locus X chromosome female diplotype of the form AA|AA, in
the generation of four-way RIL by sibling mating (PDF, 54 KB)

Table S18 -
Transpose of the recursion matrix for calculating probabilities of the two-locus X chromosome female
diplotype of the form AA|AB, in the generation of four-way RIL by sibling mating (PDF, 62 KB)

Table S19 -
Starting states for the calculation of probabilities of the two-locus X chromosome female diplotype of the form AA|AB, in
the generation of four-way RIL by sibling mating (PDF, 54 KB)

Table S20 -
Transpose of the recursion matrix for calculating probabilities of the two-locus X chromosome female diplotype of the form
AA|BB, in the generation of four-way RIL by sibling mating (PDF, 60 KB)

Table S21 -
Starting states for the calculation of probabilities of the two-locus X chromosome female diplotype of the form AA|BB, in
the generation four-way RIL by sibling mating (PDF, 54 KB)

Table S22 -
Prescription for the calculation of two-locus autosomal diplotype probabilities at intermediate generations in the construction
of 8-way RIL, from the corresponding probabilities for 4-way RIL (PDF, 58 KB)

Table S23 -
Prescription for the calculation of two-locus X chromosome female diplotype probabilities at intermediate generations in
the construction of 8-way RIL, from the corresponding probabilities for 4-way RIL (PDF, 58 KB)

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